Use of turbulent flow statistical properties for correcting erroneous velocity vectors in PIV

Philippe Druault; Philippe Guibert

doi:10.1016/j.crme.2004.04.006

Use of turbulent flow statistical properties for correcting erroneous velocity vectors in PIV

Presented by: Évariste Sanchez-Palencia

Philippe Druault ¹ ; Philippe Guibert ¹

¹ Laboratoire de mécanique physique, CNRS UMR 7068, université Pierre et Marie Curie, 2, place de la gare de ceinture, 78210 Saint Cyr l'École, France

Comptes Rendus. Mécanique, Volume 332 (2004) no. 9, pp. 731-736.

Abstract
Résumé

For particular turbulent flows, PIV measurements technique provides more than 10% of spurious velocity vectors at each time step. To correct these vectors, we propose to use the Linear Stochastic Estimation (LSE) dealing with the spatial correlation tensor of the velocity. If this tensor cannot be determined in some measurement zones, Proper Orthogonal Decomposition is used to model this tensor. Both reconstruction methodologies are tested from PIV measurements performed in a Spark Ignition engine flow. We show that for coherent structures analysis, the LSE reconstruction method provides better results than classical mathematical interpolation methods.

Les mesures PIV peuvent entraı̂ner pour des écoulements turbulents particuliers près de 10 % de vecteurs vitesse erronés. Pour corriger ces vecteurs, on propose d'utiliser l'Estimation Stochastique Linéaire basée sur le tenseur de corrélation spatiale de vitesse. Si ce tenseur n'est pas partout accessible, la Décomposition Orthogonale aux valeurs Propres est alors utilisée pour reconstruire ce tenseur. Une validation de ces procédures de reconstruction réalisée à partir de mesures PIV en écoulement de moteur a ainsi montré l'intérêt pour l'analyse des structures cohérentes d'utiliser la LSE par rapport aux méthodes d'interpolations mathématiques couramment utilisées.

Received: 2003-11-12
Accepted: 2004-04-27
Published online: 2004-07-23

DOI: 10.1016/j.crme.2004.04.006

Mot clés : Turbulence, Structures cohérentes, PIV, Estimation Stochastique, Décomposition Orthogonale aux valeurs propres
Mot clés : Turbulence, Coherent structures, PIV, Stochastic Estimation, Proper Orthogonal Decomposition

Author's affiliations:

Philippe Druault ¹; Philippe Guibert ¹

¹ Laboratoire de mécanique physique, CNRS UMR 7068, université Pierre et Marie Curie, 2, place de la gare de ceinture, 78210 Saint Cyr l'École, France

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     author = {Philippe Druault and Philippe Guibert},
     title = {Use of turbulent flow statistical properties for correcting erroneous velocity vectors in {PIV}},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {731--736},
     publisher = {Elsevier},
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     number = {9},
     year = {2004},
     doi = {10.1016/j.crme.2004.04.006},
     language = {fr},
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Philippe Druault; Philippe Guibert. Use of turbulent flow statistical properties for correcting erroneous velocity vectors in PIV. Comptes Rendus. Mécanique, Volume 332 (2004) no. 9, pp. 731-736. doi : 10.1016/j.crme.2004.04.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.04.006/

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